A product wrapping machine comprises feed means by which products to be wrapped are directed on entry, in ordered succession, to a take-up station, a wrapping device comprising a first conveyor, rotatable continuously about a respective axis and a second conveyor rotatable intermittently about a respective axis, and a transfer device by which the products are gripped in succession at the take-up station and fed to the wrapping device. The first conveyor comprises a plurality of carriers, mounted rotatably on it and equipped with gripper heads. Each carrier is associated with a respective motion-inducing device designed to move the carrier in such a way as to enable the carrier to interface and interact with a respective gripper element of the second conveyor.